Solve the system of equations 4x+8y=44x+8y=4 and -2x-7y=-11−2x−7y=−11 by combining the equations. find (x= ),(y= )

Answer:

x=-5

Step-by-step explanation:

The simplified answer of the equation 1/5(5x-5) + 3x = - 9(1/3x + 4)

is x = - 28/5.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 1/5(5x-5) + 3x = - 9(1/3x + 4)

(1/5)(5x) - (1/5)(5) + 3x = (-9)(1/3)x - (9/4).

x - 1 + 3x = - 3x - 9/4.

4x - 4 + 12x = - 12x - 9.    (multiplied each term by 4 to remove the fraction)

16x + 12x = - 9 + 4.

28x = - 5.

x = - 28/5.

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Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

There will be 21 handshakes when seven people meet each other and each shakes hands only once with each of the others.

When a group of n people meet and each person shakes hands with every other person exactly once, the total number of handshakes that occur can be calculated using the formula (n * (n-1)) / 2.

To understand why this formula works, we can start by recognizing that each person will shake hands with n-1 other people, since they cannot shake hands with themselves. However, we need to divide by 2 to avoid counting each handshake twice, since each handshake involves two people.

Therefore, the total number of handshakes can be expressed as the product of the number of people (n) and the number of handshakes per person (n-1), divided by 2.

In the specific example of seven people meeting, we can substitute n=7 into the formula to find that the total number of handshakes will be (7 * (7-1)) / 2, which simplifies to 21. This means that there will be 21 handshakes when seven people meet and each shakes hands with every other person exactly once.

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Solution of the equation x² -11x -5 =0 using quadratic formula is equal to x = (11 ±√141)/ 2 .

As given in the question,

Given equation is equal to

x² -11x -5 =0

Solving the given equation using quadratic formula we get,

Standard quadratic equation is

ax² + bx + c =0

D = √b² -4ac

D >0 two distinct roots.

Roots given by:

x = ( -b ± √b² -4ac) /2a

Here a = 1 , b= -11, c= -5

D = √ (-11)² -4(1)(-5)

   = √121+20

   =√141 >0

Two distinct roots.

x = (-(-11) ± √141) /2(1)

  = (11 ±√141) /2

Therefore, Solution of the equation x² -11x -5 =0 using quadratic formula is equal to x = (11 ±√141)/ 2 .

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Answer:

(-1,8)

Step-by-step explanation:

The easiest method would be using substitution:

\(\left \{ {{-10x+3y=34} \atop {y = -8x}} \right.\)

Substitute the second equation into the first one:

\(-10x + 3(-8x)=34\)

\(-10x+-24x = 34\)

\(-34x = 34\)

\(x = -1\)

Use the x-value to get the y-value:

\(y = -8*-1\)

\(y = 8\)

Final answer:

(-1,8)

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Exponential functions are mathematical functions that involve an exponent or power. There are two types of exponential functions: growth and decay.

1. Exponential Growth Functions: These functions have the form y = a*b^x, where a > 0 and b > 1. They model exponential growth, where the value of y increases rapidly as x increases. For example, the function y = 2^x is an exponential growth function, as the value of y doubles for each increase in x.

2. Exponential Decay Functions: These functions have the form y = a*b^x, where a > 0 and 0 < b < 1. They model exponential decay, where the value of y decreases rapidly as x increases. For example, the function y = (1/2)^x is an exponential decay function, as the value of y is halved for each increase in x.

Both types of exponential functions are important in many fields, including finance, biology, and physics. They are used to model phenomena such as compound interest, population growth, and radioactive decay.

Answer:

9.424777960769

Step-by-step explanation:

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

2(3x+4).

Step-by-step explanation:

The mean of the chi-square distribution is located to the left of the peak. The correct option is A.

The chi-square distribution is a continuous probability distribution that is often used in statistical analyses. The following are characteristics of the chi-square distribution that are correct: As the degrees of freedom increase, the chi-square curves look more and more like a normal curve.

The χ2 curve approaches, but never touches, the positive horizontal axis.The mean of the chi-square distribution is equal to the degrees of freedom. Therefore, the characteristic of the chi-square distribution that is NOT correct is:The mean of the chi-square distribution is located to the left of the peak.

Therefore, the correct option is:A.  The mean of the chi-square distribution is located to the left of the peak.

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Answer:

Step-by-step explanation:

\(1+4\left(3x-10\right)-12x=39\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+4\left(3x-10\right)-12x-1=39-1\\\\Simplify\\4\left(3x-10\right)-12x=38\\\\\mathrm{Expand\:}4\left(3x-10\right)-12x:\quad -40\\-40 =38\\\\The \:sides\: are\: not\: equal \:so\\\mathrm{No\:Solution}\)

None of the provided answer choices (6.95, 9.78, 8.69, 5.46) can be determined based on the given data.

To calculate the time required for the 250th unit, we need to use the learning curve formula. The learning curve formula is often expressed as:

\[ T_n = T_1 \times (n^b) \]

Where:

- \( T_n \) is the time required for the nth unit.

- \( T_1 \) is the time required for the first unit.

- \( n \) is the cumulative number of units produced.

- \( b \) is the learning curve index.

In this case, the learning rate is 30%, which means the learning curve index (\( b \)) is given by the formula:

\[ b = \log(0.7) / \log(2) \]

Let's calculate the learning curve index:

\[ b = \log(0.7) / \log(2) \approx -0.152 \]

Now we can calculate the time required for the 250th unit using the formula:

\[ T_{250} = T_1 \times (250^b) \]

However, we are not given the value of \( T_1 \) in the question, so it is impossible to calculate the exact time required for the 250th unit with the given information.

Therefore, none of the provided answer choices (6.95, 9.78, 8.69, 5.46) can be determined based on the given data.''

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Answer:

1000

Step-by-step explanation:

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

Answer:

FH = 26

Step-by-step explanatio

I only know the answer

Answer:

FH ≈ 11.62

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem , then

FH² = EH × GH = 9 × 15 = 135 ( take square root of both sides )

FH = \(\sqrt{135}\) ≈ 11.62 ( to the nearest hundredth )

Answer:

16 x 6 divided by 2 is 48

First add the two bases together whenever you're trying to find the area of a trapezoid then multiply it by the height and multiply by it by 1/2 (which basically you divide by 2).

Answer:

uwuwhwhwnwjwjwiwieiwiwjwjjejeejjwje

Step-by-step explanation:

euwwuwjw

(10x-3=15x-18)

X = -1

Hey there!

\(Answer:\boxed{x=-1}\)

\(Explanation:\)

10x - 3 = -5x - 18

10x - 3 + 5x = -5x - 18 + 5x      Add 5x to both sides

15 - 3 = -18

15x - 3 + 3 = -18 + 3    Add 3 to both sides

15x = -15

15x/15 = -15/15

x = -1

Hope this helps!

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:336cm cube

Step-by-step explanation:

12x4x7 i think im  justlearning this to

Answer:

Part 1) The fractions in the list are not equal to the decimal number indicated

Part 2) The fractions 401/99 and 802/198 are equal to the decimal number indicated.

Part 1)

we have the decimal number

4.05 -----> is a terminating decimal ( t's a decimal with a finite number of digits)

Convert to fraction number

Multiply and divide by 100

Simplify

Divide by 5 both numerator and denominator

therefore

The fractions in the list are not equal to the decimal number indicated.

Part 2) we have

4.050505... ------> is a repeating decimal (is a decimal that has a digit, or a block of digits, that repeat without ever ending)

Let

x=4.050505...

we have that

Multiply by 2 both numerator and denominator

therefore

The fractions 401/99 and 802/198 are equal to the decimal number indicated.

Step-by-step explanation: